{"id":12967,"date":"2014-02-04T21:46:28","date_gmt":"2014-02-04T21:46:28","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=12967"},"modified":"2026-03-28T11:38:14","modified_gmt":"2026-03-28T16:38:14","slug":"congruent-shapes","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/congruent-shapes\/","title":{"rendered":"Congruent and Similar Shapes"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_t3lZbcIA5Oc\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_t3lZbcIA5Oc\" data-source-videoID=\"t3lZbcIA5Oc\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Congruent and Similar Shapes Video\" height=\"720\" width=\"1280\" class=\"size-full\" data-matomo-title = \"Congruent and Similar Shapes\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_t3lZbcIA5Oc:hover {cursor:pointer;} img#videoThumbnailImage_t3lZbcIA5Oc {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/05\/new-thumb.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_t3lZbcIA5Oc\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_t3lZbcIA5Oc\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Congruent and Similar Shapes\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_t3lZbcIA5Oc\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_t3lZbcIA5Oc\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_t3lZbcIA5Oc\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction ZQs_Function() {\n  var x = document.getElementById(\"ZQs\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"ZQs_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"ZQs\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Congruent_vs_Similar\" class=\"smooth-scroll\">Congruent vs. Similar<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Complex_Similar_Shapes\" class=\"smooth-scroll\">Complex Similar Shapes<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Determining_Similarity\" class=\"smooth-scroll\">Determining Similarity<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Similarity_of_Regular_Polygons\" class=\"smooth-scroll\">Similarity of Regular Polygons<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Congruent_Shape_Practice_Questions\" class=\"smooth-scroll\">Congruent Shape Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hello! Today we\u2019re going to discuss two important words in geometry: similar and congruent.<\/p>\n<p>Understanding the meaning of these two words is often the key to answering geometry test problems, so let\u2019s get started.<\/p>\n<h2><span id=\"Congruent_vs_Similar\" class=\"m-toc-anchor\"><\/span>Congruent vs. Similar<\/h2>\n<p>\n<strong>Congruent<\/strong> means \u201cequal in size and shape.\u201d So for two triangles to be congruent, they must have the same length sides and the same angles between those sides. Basically, the triangles must be perfect clones of each other.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/03\/Congruent-Triangles-01.svg\" alt=\"\" width=\"462\" height=\"174\" class=\"aligncenter size-full wp-image-215843\"  role=\"img\" \/><\/p>\n<p><strong>Similar<\/strong> triangles are the exact same shape but don\u2019t have to be the same size. So for a triangle to be similar, the angles in both triangles will all be the same and the sides will be in proportion for all sides. That means that if one side of a triangle is only half as long as the corresponding side in the other triangle, the other two sides must also be half as long as the corresponding sides in the bigger triangle.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/03\/Similar-Triangles-01.svg\" alt=\"\" width=\"395\" height=\"174\" class=\"aligncenter size-full wp-image-215845\"  role=\"img\" \/><\/p>\n<p>The definitions of congruent and similar are true for any polygon. Any two polygons that are exactly the same size and shape are congruent, and any two polygons that are the exact same shape but not necessarily the same size are similar.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/03\/Congruent-and-Similar-Stars-01.svg\" alt=\"\" width=\"711\" height=\"215\" class=\"aligncenter size-full wp-image-215847\"  role=\"img\" \/><\/p>\n<h2><span id=\"Complex_Similar_Shapes\" class=\"m-toc-anchor\"><\/span>Complex Similar Shapes<\/h2>\n<p>\nWe see complex similar shapes in models. A model house has the same shape as the real life house it\u2019s representing, but it\u2019s been scaled down. Suppose a model of a house is 1\/36 the size of the real house. All the angles are the same, but every side is thirty-six times longer on the real house.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/02\/Congruent-Shapes-House.svg\" alt=\"\" width=\"1011\" height=\"535\" class=\"aligncenter size-full wp-image-243628\"  role=\"img\" \/><\/p>\n<p>One thing to keep in mind is that if two polygons are congruent, then they are also similar. That\u2019s because by definition, congruent polygons are the same shape, which is the sole requirement for polygons being similar. But not all similar polygons are congruent, since they can be different sizes, which disqualifies them from being congruent.<\/p>\n<h2><span id=\"Determining_Similarity\" class=\"m-toc-anchor\"><\/span>Determining Similarity<\/h2>\n<p>\nSo, how do we determine if two polygons are similar? If all the corresponding angles of two polygons are the same measure and all the corresponding sides are in proportion, then the two polygons are similar. With problems involving polygons with four or more sides, we\u2019re more likely to be given the information that the two polygons are similar so that we can use that information to find a missing side or angle. <\/p>\n<h3><span id=\"Example_Problem\" class=\"m-toc-anchor\"><\/span>Example Problem<\/h3>\n<p>\nHere\u2019s a sample problem:<\/p>\n<p>Find the missing angle and side of these similar quadrilaterals.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/03\/Similar-Quadrilaterals.webp\" alt=\"\" width=\"1814\" height=\"404\" class=\"aligncenter size-full wp-image-215851\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/03\/Similar-Quadrilaterals.webp 1814w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/03\/Similar-Quadrilaterals-300x67.webp 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/03\/Similar-Quadrilaterals-1024x228.webp 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/03\/Similar-Quadrilaterals-768x171.webp 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/03\/Similar-Quadrilaterals-1536x342.webp 1536w\" sizes=\"auto, (max-width: 1814px) 100vw, 1814px\" \/><\/p>\n<p>We can use our knowledge of similarity to find these missing measures. Since the quadrilaterals are similar, all their corresponding angles will be the same. So the top right angle of our larger quadrilateral must be 99 degrees just like it is in the smaller quadrilateral. And once we know that, we can find our missing angle \\(x\\) because the interior angles of a quadrilateral must add up to 360 degrees.<\/p>\n<div class=\"examplesentence\">\\(84^{\\circ} +88^{\\circ} +99^{\\circ} +x^{\\circ} =360^{\\circ}\\)<br \/>\n\\(x=89^{\\circ}\\)<\/div>\n<p>\n&nbsp;<br \/>\nTo find the missing side \\(y\\), we need to set up a proportion.<\/p>\n<p>To solve this proportion, we need to cross multiply. Cross multiplying gives us \\(5y=24\\), and dividing both sides by 5 gives us \\(y=4.8\\). So, the missing side length is 4.8 cm. <\/p>\n<p>Finding these two values was only possible because we know that similar figures have the same angles and proportional sides.<\/p>\n<h2><span id=\"Similarity_of_Regular_Polygons\" class=\"m-toc-anchor\"><\/span>Similarity of Regular Polygons<\/h2>\n<p>\nBefore we wrap up, let\u2019s cover one more essential thing to know about similarity and congruence. <\/p>\n<p>All regular polygons are similar to every other regular polygon with the same number of sides. So all regular pentagons are similar. <\/p>\n<p>So are all regular hexagons and octagons and so on. That\u2019s because by definition, all the interior angles of a regular polygon are the same measure. All the interior angles of a regular pentagon are 108\u00b0, all the angles of a regular hexagon are 120\u00b0, and all the angles of a regular octagon are 135\u00b0.<\/p>\n<p>That\u2019s it for similar and congruent polygons. I hope this video was helpful. Thanks for watching, and happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Congruent_Shape_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Congruent Shape Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich statement is true? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">Congruent figures have different sides and angles. <\/div><div class=\"PQ\"  id=\"PQ-1-2\">Congruent figures are the same size but not the same shape. <\/div><div class=\"PQ\"  id=\"PQ-1-3\">Congruent figures are the same shape but not the same size.<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-4\">Congruent figures are the same size and shape. <\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>Congruent figures have the exact same size and shape. Even when reflected, rotated, or translated, their size and shape remain identical. <\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nIdentify the type of transformation shown in the two congruent shapes below:<\/p>\n<p style=\"text-align:center;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-72106 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/04\/coordinate-grid-reflected-triangles-point-F-at-1-1-point-G-at-4-5-point-E-at-negative-3-1-point-E-prime-at-negative-3-negative-1-point-F-prime-at-1-negative-1-point-G-prime-at-4-negative-5.png\" alt=\"coordinate grid, reflected triangles, point F at (1, 1), point G at (4, 5), point E at (negative 3, 1), point E prime at (negative 3, negative 1), point F prime at (1, negative 1), point G prime at (4, negative 5)\" width=\"353\" height=\"356\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/04\/coordinate-grid-reflected-triangles-point-F-at-1-1-point-G-at-4-5-point-E-at-negative-3-1-point-E-prime-at-negative-3-negative-1-point-F-prime-at-1-negative-1-point-G-prime-at-4-negative-5.png 922w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/04\/coordinate-grid-reflected-triangles-point-F-at-1-1-point-G-at-4-5-point-E-at-negative-3-1-point-E-prime-at-negative-3-negative-1-point-F-prime-at-1-negative-1-point-G-prime-at-4-negative-5-297x300.png 297w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/04\/coordinate-grid-reflected-triangles-point-F-at-1-1-point-G-at-4-5-point-E-at-negative-3-1-point-E-prime-at-negative-3-negative-1-point-F-prime-at-1-negative-1-point-G-prime-at-4-negative-5-150x150.png 150w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/04\/coordinate-grid-reflected-triangles-point-F-at-1-1-point-G-at-4-5-point-E-at-negative-3-1-point-E-prime-at-negative-3-negative-1-point-F-prime-at-1-negative-1-point-G-prime-at-4-negative-5-768x775.png 768w\" sizes=\"auto, (max-width: 353px) 100vw, 353px\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">Rotation<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-2\">Reflection<\/div><div class=\"PQ\"  id=\"PQ-2-3\">Translation<\/div><div class=\"PQ\"  id=\"PQ-2-4\">Dilation<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>\\(\\triangle EFG\\) is reflected across the \\(x\\)-axis so that one triangle shows a mirror image of the other. Therefore, this is an example of a reflection.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich type of transformation moves a figure by sliding it vertically, horizontally, or both? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">Dilation<\/div><div class=\"PQ\"  id=\"PQ-3-2\">Reflection<\/div><div class=\"PQ\"  id=\"PQ-3-3\">Rotation<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-4\">Translation<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>A translation happens when a congruent shape slides to another position without being rotated or flipped. The congruent shape can be translated vertically and horizontally.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nCaleb works at an art museum and is in charge of a new sculpture installation. He proposes a location for the sculpture and presents it to his boss. Caleb\u2019s boss wants the sculpture turned to the left, as shown in the image below. What type of transformation is this? <\/p>\n<p style=\"text-align:center;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-72103 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/04\/coordinate-grid-yellow-L-rotated-counter-clockwise-to-look-like-a-check-mark-red-arrow-showing-counterclockwise-motion.png\" alt=\"coordinate grid, yellow L rotated counter clockwise to look like a check mark, red arrow showing counterclockwise motion\" width=\"296\" height=\"284\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/04\/coordinate-grid-yellow-L-rotated-counter-clockwise-to-look-like-a-check-mark-red-arrow-showing-counterclockwise-motion.png 613w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/04\/coordinate-grid-yellow-L-rotated-counter-clockwise-to-look-like-a-check-mark-red-arrow-showing-counterclockwise-motion-300x288.png 300w\" sizes=\"auto, (max-width: 296px) 100vw, 296px\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">Reflection<\/div><div class=\"PQ\"  id=\"PQ-4-2\">Translation<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-3\">Rotation<\/div><div class=\"PQ\"  id=\"PQ-4-4\">Dilation<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>When a congruent shape is turned, it\u2019s rotated about a fixed point. The L-shaped sculpture is turned counter-clockwise to a new position. Therefore, the transformation taking place is rotation.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nJanelle used a ruler to trace a line on a piece of graph paper. Her line was five units long. Then, she slid her ruler down eight units and traced another line on the graph paper. This line was also five units long. What type of transformation did Janelle perform? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-5-1\">Translation<\/div><div class=\"PQ\"  id=\"PQ-5-2\">Dilation<\/div><div class=\"PQ\"  id=\"PQ-5-3\">Rotation<\/div><div class=\"PQ\"  id=\"PQ-5-4\">Reflection<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>A translation happens when a figure is moved from one location to another by sliding it in a horizontal or vertical direction. The size and shape of the figure remain the same. Since Janelle slid her ruler eight units down and created a line identical to her original line, she performed a translation.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/geometry\/\">Return to Geometry Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Geometry Videos<\/p>\n","protected":false},"author":1,"featured_media":257707,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-12967","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-math-advertising-group","7":"page_category-shape-videos","8":"page_type-video","9":"content_type-practice-questions","10":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/12967","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=12967"}],"version-history":[{"count":7,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/12967\/revisions"}],"predecessor-version":[{"id":285016,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/12967\/revisions\/285016"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/257707"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=12967"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}